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Simplifying 5x(3y + -2) = 0 Reorder the terms: 5x(-2 + 3y) = 0 (-2 * 5x + 3y * 5x) = 0 (-10x + 15xy) = 0 Solving -10x + 15xy = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '5x'. 5x(-2 + 3y) = 0 Ignore the factor 5.## Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0## Subproblem 2

Set the factor '(-2 + 3y)' equal to zero and attempt to solve: Simplifying -2 + 3y = 0 Solving -2 + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3y = 0 + 2 3y = 0 + 2 Combine like terms: 0 + 2 = 2 3y = 2 Add '-3y' to each side of the equation. 3y + -3y = 2 + -3y Combine like terms: 3y + -3y = 0 0 = 2 + -3y Simplifying 0 = 2 + -3y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.## Solution

x = {0}

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